What is the Least Common Multiple of 16172 and 16189?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 16172 and 16189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16172 and 16189, than apply into the LCM equation.

GCF(16172,16189) = 1
LCM(16172,16189) = ( 16172 × 16189) / 1
LCM(16172,16189) = 261808508 / 1
LCM(16172,16189) = 261808508

Least Common Multiple (LCM) of 16172 and 16189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16172 and 16189. First we will calculate the prime factors of 16172 and 16189.

Prime Factorization of 16172

Prime Factorization of 16189

Now multiplying the highest exponent prime factors to calculate the LCM of 16172 and 16189.

LCM(16172,16189) = 2² × 13¹ × 311¹ × 16189¹
LCM(16172,16189) = 261808508